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414141414 = 23595871993
BaseRepresentation
bin11000101011110…
…100101111100110
31001212021120012220
4120223310233212
51322010011124
6105032253210
713156100241
oct3053645746
91055246186
10414141414
111a2854635
12b6841206
1367a531bb
143d006258
1526558879
hex18af4be6

414141414 has 32 divisors (see below), whose sum is σ = 844179840. Its totient is φ = 135408192.

The previous prime is 414141397. The next prime is 414141419.

414141414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4141414142 = 343026221579838792, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

414141414 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206802 + ... + 208794.

It is an arithmetic number, because the mean of its divisors is an integer number (26380620).

Almost surely, 2414141414 is an apocalyptic number.

414141414 is an abundant number, since it is smaller than the sum of its proper divisors (430038426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414141414 is a wasteful number, since it uses less digits than its factorization.

414141414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644.

The product of its digits is 1024, while the sum is 24.

The square root of 414141414 is about 20350.4647121386. The cubic root of 414141414 is about 745.3888419522.

The spelling of 414141414 in words is "four hundred fourteen million, one hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 59 118 177 354 587 1174 1761 1993 3522 3986 5979 11958 34633 69266 103899 117587 207798 235174 352761 705522 1169891 2339782 3509673 7019346 69023569 138047138 207070707 414141414